An employee puts $3,000 into a retirement fund that offers 7% interest compounded annually. The employee makes no other deposits or withdrawals. Which amount is closest to the interest that the employee will have earned after 4 years?

Answer:

2x + 3/4 - 3x - 2/5 - 6 x - 5/20 is less than 13/4

Step-by-step explanation:

Do you want to know how I know it's because it equals   −8

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer: Hope This Helps!

Step-by-step explanation:

Statistic Definition: A mathematical science concerned with data collection, presentation, analysis, and interpretation

Examples: "Statistics is the only mathematical field required for many social sciences." and "The statistics from the Census for apportionment are available."

Answer:

-5,4

Step-by-step explanation:

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x)                                40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x)                          500 fix fee & 20 per person (student) = 500 + 20x

V= 4 i mean thats the best i can give sorry good luck pretty sure its right

Answer:

B. (2, 1/64)

Hope this helps!

Answer:

Step-by-step explanation:

The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.

Use the formula above to calculate the value:-

Arc length = ∅/360 × 2πr

21.5  = ∅/360 × 2π ( 7.5 )

∅ = ( 21.5 x 360 ) / 2π ( 7.5 )

∅ = 164 degrees

Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

Learn more about the arc length on:

brainly.com/question/2005046

#SPJ5

Answer:

Step-by-step explanation:

im ka$hdami a 16yr old rapper i made the viral songs (reperations) (Look N the Mirror) and (Kappin Up) check out my new songs out on all platforms

Answer:

30.2 is the answer (use distrubutyion in this problem)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Quadrant III

Step-by-step explanation:

Quadrant I = 1 - 90°

Quadrant II = 91 - 180°

Quadrant III = 181 - 270°

Quadrant IIII = 271 - 360°

Answer:

Step-by-step explanation:

3x + 4y = 12

4y = -3x +12

y = (-3/4)X + 12/4

y = -[tex]\frac{3}{4}[/tex]X  + 3

Answer:

Hello! answer: x = 68

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!

Answer:

x=-3.5 , the points of the graph are 0,1 and 3,3

Step-by-step explanation:

Answer:

15000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

150 centimeters

Step-by-step explanation:

just multiply!

hope this helps :)

Answer:

c

Step-by-step explanation:

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

Answer:

Step-by-step explanation:

Rectangle 4 sides, 4 right angles, and opposite Parallel sides

Rhombus 4 sides, all sides equal length, and 4 acute angles.

I am 100% positive this answer is correct plz mark as brainliest

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

Yes.

Step-by-step explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.

Answer:

Yes, it's a right triangle.

Step-by-step explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right, [tex]a^{2} + b^{2} = c^{2}[/tex].

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be [tex]c[/tex].

4 and 3 are [tex]a[/tex] and [tex]b[/tex]. (It doesn't matter which is a and which is b)

Plug in the numbers:

[tex]4^2 + 3^2 = 5^2[/tex]

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Step-by-step explanation:

The general vertex form is given by

[tex]y = a {(x - h)}^{2} + k[/tex]

where (h, k) is the vertex and a is a constant. So we can write the y as

[tex]y = a {(x - 2)}^{2} + 1[/tex]

To find the value of a, substitute the point (1, -4)

-4 = a(1 - 2)^2 + 1

or a = -5

Therefore, the vertex form of the parabola is

[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

You hit the water 1.075 seconds after you jump.

The maximum height is 12.56.

Given that,

You are jumping off the 12-foot diving board at the municipal pool.

You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,

[tex]\rm h(t)=-16t^2+6t+12[/tex]

We have to determine,

When do you hit the water?

What is your maximum height?

According to the question,

You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,

[tex]\rm h(t)=-16t^2+6t+12[/tex]

1. The initial height is the height when t = 0 second,

[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]

And the diving board is 12 feet tall.

Then the zero in h(t)

h(t) = 0

When h(t) = 0 represent the surface of the water,

[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]

The value of x can not be negative then the value of x is 1.075.

Therefore, you hit the water 1.075 seconds after you jump.

2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:

[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]

To find the maximum height the value first derivative is equal to zero.

[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]

Substitute the value of t in the equation to find the maximum height,

[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]

Hence, The maximum height is 12.56.

For more details refer to the link given below.

https://brainly.com/question/20120328